Question

Find the equation of the straight line which passes through $(2,3)$ and the portion of the line intercepted between the axes is bisected at this point.

Answer 1

Let PQ be the line passes through coordinate axis and P.

And is bisected at P by the axes, then

Using Given condition

$2=\frac{a+o}{2}$ and $3=\frac{b+o}{2}$ [ from section formula]

$[a=4]$ & $[b=o]$

Now equation of line passing through (2, 3) and (4, 0) as

$y-3=\frac{o-3}{4-3}(x-2)$

$y-3=-3(x-2)$

$y+3x=9$....(1)

Hence equation of line is $y+3x=9$